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Finding the Third Proportional to 334,162 and 517,195

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Solution

The third proportional to 334,162 and 517,195 is: 800,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,162 : 517,195 = 517,195 : x
  2. Step 2: Convert to fraction form
    334,162/517,195 = 517,195/x
  3. Step 3: Cross multiply
    334,162x = 517,195 × 517,195
  4. Step 4: Simplify right side
    334,162x = 267,490,668,025
  5. Step 5: Solve for x
    x = 267,490,668,025/334,162
  6. Step 6: Final answer
    x = 800,482.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.